Internal wave is essentially a gravity wave induced by the layered structure of water (e.g., density stable layering), with its maximum amplitude occurring within the ocean. Similar to surface waves, internal waves have significant influence on the strength and stability of a submerged body as an external factor. Meanwhile, combined shells are exposed to complicated loads under internal waves, and edge stress is dominant. In this study, the edge stresses of combined shell (typical hemisphere–cylinder combined shell and unfolded sphere–cylinder combined shell) under internal waves were analyzed. Indeed, a semi-empirical, semi-theoretical formula for the edge stress of combined shells (typical hemisphere–cylinder combined shell and unfolded sphere–cylinder combined shell) has been proposed. In this study, the semi-empirical, semi-theoretical formula was corrected by introducing internal wave loads, with the depth of the internal wave taken into consideration. In addition, the corrected formula was verified by finite element analysis, and a simplified equation for the calculation of edge stress of the combined shell under internal waves was developed, with errors in a rational range.

中文翻译：

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内波作用下组合壳边缘应力分析


内波本质上是由水的层状结构（例如，密度稳定层状）引起的重力波，其最大振幅发生在海洋内。与表面波类似，内波作为外部因素对水下物体的强度和稳定性具有显着影响。同时，组合壳在内波作用下承受复杂载荷，且边缘应力占主导地位。本研究对组合壳（典型的半球柱组合壳和展开球柱组合壳）在内波作用下的边缘应力进行了分析。事实上，已经提出了组合壳（典型的半球-圆柱组合壳和展开球-圆柱组合壳）边缘应力的半经验、半理论公式。本研究通过引入内波载荷，并考虑内波深度，对半经验半理论公式进行修正。此外，通过有限元分析对修正后的公式进行了验证，建立了内波作用下组合壳边缘应力计算的简化方程，误差在合理范围内。